Coefficient of lift formula

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SUMMARY

The coefficient of lift (Cl) is influenced by the angle of attack and the shape of the airfoil. While there is no single formula that universally applies, the discussion highlights a specific equation: Cl = Cl(2d slope) * (AR/(AR+2)) * aoa, where AR represents the aspect ratio. Resources such as the 1550 airfoils database and various simulation tools like FoilSim and JavaFoil are recommended for further exploration of airfoil shapes and their effects on lift. The Reynolds effect also plays a crucial role in determining lift characteristics.

PREREQUISITES
  • Understanding of aerodynamic principles, specifically lift generation.
  • Familiarity with airfoil shapes and their characteristics.
  • Knowledge of the Reynolds number and its impact on lift.
  • Basic proficiency in using simulation tools for aerodynamic analysis.
NEXT STEPS
  • Research the application of the Reynolds number in aerodynamic calculations.
  • Explore the use of FoilSim for simulating airfoil performance.
  • Investigate the relationship between aspect ratio and lift-to-drag ratio.
  • Learn about computational fluid dynamics (CFD) for advanced flow modeling.
USEFUL FOR

Aerospace engineers, aerodynamicists, and students studying fluid dynamics will benefit from this discussion, particularly those focused on airfoil design and performance optimization.

JWSiow
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Hi,

i have to find a formula for the coefficient of lift that has the angle of attack and wing shape (airfoil shape) in it. Also, where can i find airfoil shapes for different planes?

Thanks
 
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This should get you started, 1550 airfoils:

http://www.ae.uiuc.edu/m-selig/ads.html

Do a web search for "airfoil polar", and you should get a few good hits.

The size of the air foil affects coefficient of lift (Reynolds effect). Also it's probably better to use effective angle of attack, which is defined to be zero at the angle of attack that results in zero lift.

The main things to look for are speed range, and lift to drag ratio, at least for gliders (both full scale and models). For small powered civilian aircraft, efficiency is often traded off to ease manufacturing, such as a flat bottom airfoil. High speed aircraft need low drag more than a good lift to drag ratio, especially super-sonic aircraft.
 
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
 
JWSiow said:
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
It's more complicated than that. I'm looking for one, however here's a link to a site with a program you can mess with, it includes lift and coefficient of lift, but not drag.

http://www.lerc.nasa.gov/WWW/K-12/FoilSim/index.html
 
Last edited by a moderator:
JWSiow said:
so is there a formula for the coefficient of lift that has wing shape and an angle of attack in it?
No. There isn't. The particulars regarding angle of attack and airfoil shape are rolled into the coefficient. It's a measured value in a wind tunnel or estimated via flow modeling.
 
thanks heaps everyone :D
 
Erm Yeah there is, Cl = Cl(2d slope) * (AR/AR+2)*aoa
 

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